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142023384 = 23325967499
BaseRepresentation
bin10000111011100…
…01101011011000
3100220020112110100
420131301223120
5242324222014
622032015400
73343115226
oct1035615330
9326215410
10142023384
11731942a8
123b691560
1323568309
1414c0db16
15c706009
hex8771ad8

142023384 has 96 divisors (see below), whose sum is σ = 397800000. Its totient is φ = 45752256.

The previous prime is 142023377. The next prime is 142023397. The reversal of 142023384 is 483320241.

142023384 is a `hidden beast` number, since 1 + 420 + 233 + 8 + 4 = 666.

142023384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1420233843 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284367 + ... + 284865.

It is an arithmetic number, because the mean of its divisors is an integer number (4143750).

Almost surely, 2142023384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142023384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198900000).

142023384 is an abundant number, since it is smaller than the sum of its proper divisors (255776616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142023384 is a wasteful number, since it uses less digits than its factorization.

142023384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 142023384 is about 11917.3564182666. The cubic root of 142023384 is about 521.7389807898.

The spelling of 142023384 in words is "one hundred forty-two million, twenty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 67 72 118 134 177 201 236 268 354 402 472 499 531 536 603 708 804 998 1062 1206 1416 1497 1608 1996 2124 2412 2994 3953 3992 4248 4491 4824 5988 7906 8982 11859 11976 15812 17964 23718 29441 31624 33433 35577 35928 47436 58882 66866 71154 88323 94872 100299 117764 133732 142308 176646 200598 235528 264969 267464 284616 300897 353292 401196 529938 601794 706584 802392 1059876 1203588 1972547 2119752 2407176 3945094 5917641 7890188 11835282 15780376 17752923 23670564 35505846 47341128 71011692 142023384